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 If $y>0$, find the range of all possible values of $y$ such that

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If y>0, find the range of all possible values of y such that \(\lceil{y}\rceil\cdot\lfloor{y}\rfloor=42\). Express your answer using interval notation.

 Dec 1, 2018

6+0 Answers

 #1
avatar+36916 
0

Never mind......

   see below

 Dec 1, 2018
edited by ElectricPavlov  Dec 1, 2018
edited by ElectricPavlov  Dec 1, 2018
edited by ElectricPavlov  Dec 1, 2018
 #2
avatar+128475 
+1

Notice that if y > 0

 

6 < y < 7...... will make this true

 

For example....if y = 6.1

The ceiling = 7

And the floor = 6

 

cool cool cool

 Dec 1, 2018
 #3
avatar+36916 
0

   So ...in interval notation

(6,7)

 

What  about the negative options?   Oh yah....   y>0    Haha

ElectricPavlov  Dec 1, 2018
edited by ElectricPavlov  Dec 1, 2018
edited by ElectricPavlov  Dec 1, 2018
 #5
avatar+128475 
0

Remember that y > 0

 

cool cool cool

CPhill  Dec 1, 2018
 #6
avatar+128475 
0

LOL!!!

 

Actually......your first answer was more "complete" if we allow y to be positive or negative....!!!

 

cool cool cool

CPhill  Dec 1, 2018
edited by CPhill  Dec 1, 2018
 #4
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0

6 < y < 7   and     -7 < y < -6    according to W/A.

 Dec 1, 2018
edited by Guest  Dec 1, 2018

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